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Biometry
Biology 325


Instructor: Jerry G. Chmielewski

Objectives: An introduction to statistical techniques and experimental design as applied to environmental or biological problems. Emphasis is placed on the selection and interpretation of tests, rather than theory. Descriptive methods, tests of significance, linear regression, correlation, analysis of variance and covariance, and non-parametric techniques are included. The laboratory component of the course provides a thorough introduction to the use of computers in statistics. Considerable attention is devoted to the use of PC SAS for data analysis. One section of this course is offered in the spring semester.

Prerequisites: None

Credit Value: 3

Contact Time: Two 50 minute lectures and one 3 hour laboratory per week.

Outcomes: Upon completion of this course a student should:

  • understand the meaning of and be able to calculate the mean, confidence intervals for the mean, standard deviation, standard error, product moment correlation coefficients, slope of the least-squares regression line, Chi-square, etc.
  • understand hypothesis testing and be able to construct a null and an alternate hypothesis
  • understand the meaning of statistical significance as it relates to a probability statement, and be able to correctly reject or fail to reject test hypotheses
  • understand the normal distribution, the student's distribution, the binomial distribution, the Poisson distribution, the Chi-square distribution, and the F distribution
  • know when and how to use each of the above distributions for testing hypotheses
  • be able to test the difference between correlated and uncorrelated sample means using a t-test for two means and analysis of variance for several means
  • understand the meaning of and be able to test homogeneity of variances
  • understand how to probe for significant differences between individual means after a significant ANOVA
  • understand simple ANOVA designs (i.e. randomized, blocked, nested, Latin square, factorial)
  • be able to express the relationship between two variables by correlation analysis
  • be able to analyze the dependence of one variable upon another by regression
  • understand the concepts of multiple correlation and regression
  • understand the concept of covariate analysis
  • be able to test for goodness of fit of data to various genetic or other a priori models by Chi-square analysis
  • be able to construct contingency tables to test for association between variables
  • understand the necessity for and use of non-parametric tests and should be familiar with one or more appropriate non-parametric tests for differences between samples, correlation, and analysis of variance
  • have a basic understanding of the necessity to include statistical planning in research design
  • be able to read articles in the primary literature and critique the respective authors experimental design, use of ststatistical procedures, and interpretation of results
  • be versed in the use of PC SAS

Assessment:

  • Term test 1: Questions will be comprehensive dealing with material covered during scheduled lecture and laboratory periods. The test will consist of two parts. Part 1 will be in class and deal with the technical aspects of statistical testing. Part 2 will be out of class, open book, and restricted to problem solving. You will need to be familiar with PC SAS to answer these question. (15 Percent)
  • Term test 2: Questions will be comprehensive dealing with material covered during scheduled lecture and laboratory periods. The test will consist of two parts. Part 1 will be in class and deal with the technical aspects of statistical testing. Part 2 will be out of class, open book, and restricted to problem solving. You will need to be familiar with PC SAS to answer these question. (20 Percent)
  • Assignments: Questions will likely be assigned on a weekly basis during the laboratory period. These questions will be comprehensive. Critiques of published works will be considered as part of this grade. (30 Percent)
  • Final examination: Questions will be comprehensive dealing with material covered during scheduled lecture and laboratory periods. The test will consist of two parts. Part 1 will be in class and deal with the technical aspects of statistical testing. Part 2 will be out of class, open book, and restricted to problem solving. You will need to be familiar with PC SAS to answer these question. (35 Percent)

Lecture Schedule:

  • Syllabus, biostatistics, data
  • Frequency distributions, populations, samples
  • Measures of central tendency
  • Measures of dispersion
  • Hypotheses, alpha, chi-square
  • Yates correction for continuity, heterogeneity chi-square
  • Log-likelihood, Kolmogorov-Smirnov
  • Contingency tables (2X2), subdividing contingency tables
  • Normal distribution
  • Coding, data transformations
  • t-test, one and two tailed tests, confidence limits
  • Two sample hypotheses, parametric tests
  • Mann Whitney non parametric test
  • Paired sample t-test, Wilcoxon paired sample test
  • Single factor analysis of variance
  • Single factor analysis of variance
  • Kruskal-Wallis non parametric test
  • Nested analysis of variance
  • Multiple range testing
  • Two factor analysis of variation with replication
  • Two factor analysis of variation with replication
  • Two factor analysis of variation without replication
  • Multifactorial analysis of variance, Latin square, blocked designs
  • Linear regression
  • Comparing simple linear regressions
  • Correlation analysis
  • Analysis of covariance
  • Analysis of covariance
  • Binomial distribution
  • Poisson distribution

Laboratory Schedule:

  • The laboratory component of the course provides a thorough introduction to the use PC SAS for the purpose of data analysis.

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Phone 1.800.SRU.9111